briannareaganb briannareaganb
  • 16-01-2020
  • Mathematics
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In triangle KLP, k = 13mi, l = 10mi, and p = 8mi. Find measurement K to the nearest 10th

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abidemiokin
abidemiokin abidemiokin
  • 01-02-2022

The measure of m<K is 91.79 degrees

Cosine rule

To get the measurement of m<K, we will use the cosine rule formula as shown:

  • [tex]k^2 = l^2 + m^2 - 2abcos \ m\angle K[/tex]

Substitute the given parameters

[tex]13^2=10^2+8^2-2(10)(8)cos m\angle K\\169 = 164 - 160cosK\\5 = -160cosK\\K = 91.79^0[/tex]

Hence the measure of m<K is 91.79 degrees

Learn more on cosine rule here: https://brainly.com/question/7872492

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